Practice Method Of Variation Of Parameters (1.7.2) - Linear Differential Equations

Practice: Method of Variation of Parameters

Lesson 1.7.2Linear Differential Equations

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8 questions

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6 sample questions

Question 1.
What is the method of variation of parameters used for?
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Think about equations that can't use simpler methods.
Question 2.
In variation of parameters, what do we replace the constants with?
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Recall the expression for the complementary solution.
3Question 3.
What does the method of variation of parameters specifically address?
- Homogeneous equations
- Non-homogeneous equations
- Special cases only
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Consider what differentiates non-homogeneous from homogeneous equations.
4Question 4.
True or False: The functions u_1 and u_2 are constants in the variation of parameters method.
- True
- False
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Think about how we construct the particular solution.
Question 5.
Use the method of variation of parameters to solve the equation y'' - 4y' + 4y = e^(2x). What steps will you take to arrive at the final solution?
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Be sure to differentiate and set up your system correctly.
Question 6.
Consider the equation y'' + y = tan(x). Utilize the method of variation of parameters to describe how you would find the particular solution.
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Pay close attention to the trigonometric identity when working with tangent.

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